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A Transition to Proof: An Introduction to Advanced Mathematics book cover

1st Edition

A Transition to Proof An Introduction to Advanced Mathematics

By Neil R. Nicholson Copyright 2019
464 Pages 39 B/W Illustrations
by Chapman & Hall

462 Pages 39 B/W Illustrations
by Chapman & Hall

462 Pages 39 B/W Illustrations
by Chapman & Hall
Also available as eBook on:
A Transition to Proof: An Introduction to Advanced Mathematics describes writing proofs as a creative process. There is a lot that goes into creating a mathematical proof before writing it. Ample discussion of how to figure out the "nuts and bolts'" of the proof takes place: thought processes, scratch work and ways to attack problems. Readers will learn not just how to write mathematics but... Read more

Symbolic Logic



Sets



Introduction to Proofs



Mathematical Induction



Relations



Functions



Cardinality



Introduction to Topology



Properties of the Real Number System



Proof Writing Tips



Selected Solutions and Hints

Biography

Dr. Neil R. Nicholson is Associate Professor of Mathematics at North Central College. He holds a Ph.D. in Mathematics from The University of Iowa, specializing in knot theory. His research interests have consistently been topics accessible to undergraduates; collaborating with them on original research is a fundamental goal of his professional development. In 2015, he earned the Clarence F. Dissinger Award for Junior Faculty Teaching at North Central College. He serves as the Faculty Athletic Representative to the NCAA for North Central College.

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